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2441014004 = 22111353731103
BaseRepresentation
bin1001000101111110…
…1110101011110100
320022010012100201002
42101133232223310
514444344422004
61042115222432
7114330163622
oct22137565364
96263170632
102441014004
111042985a50
125815a7a18
132cb948bb0
14192298512
15e447861e
hex917eeaf4

2441014004 has 96 divisors (see below), whose sum is σ = 5188022784. Its totient is φ = 990213120.

The previous prime is 2441014001. The next prime is 2441014027. The reversal of 2441014004 is 4004101442.

It is a happy number.

It is a super-2 number, since 2×24410140042 = 11917098735448224032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2212517 + ... + 2213619.

It is an arithmetic number, because the mean of its divisors is an integer number (54041904).

Almost surely, 22441014004 is an apocalyptic number.

It is an amenable number.

2441014004 is an abundant number, since it is smaller than the sum of its proper divisors (2747008780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2441014004 is a wasteful number, since it uses less digits than its factorization.

2441014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2441014004 is about 49406.6190302474. The cubic root of 2441014004 is about 1346.4495649051.

Adding to 2441014004 its reverse (4004101442), we get a palindrome (6445115446).

The spelling of 2441014004 in words is "two billion, four hundred forty-one million, fourteen thousand, four".

Divisors: 1 2 4 11 13 22 26 44 52 53 73 106 143 146 212 286 292 572 583 689 803 949 1103 1166 1378 1606 1898 2206 2332 2756 3212 3796 3869 4412 7579 7738 10439 12133 14339 15158 15476 20878 24266 28678 30316 41756 42559 48532 50297 57356 58459 80519 85118 100594 116918 157729 161038 170236 201188 233836 315458 322076 553267 630916 643049 759967 885709 1046747 1106534 1286098 1519934 1771418 2093494 2213068 2572196 3039868 3542836 4186988 4267507 8359637 8535014 11514217 16719274 17070028 23028434 33438548 46056868 46942577 55477591 93885154 110955182 187770308 221910364 610253501 1220507002 2441014004